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- Bounded_quantifier abstract "In the study of formal theories in mathematical logic, bounded quantifiers are often added to a language in addition to the standard quantifiers "∀" and "∃". Bounded quantifiers differ from "∀" and "∃" in that bounded quantifiers restrict the range of the quantified variable. The study of bounded quantifiers is motivated by the fact that determining whether a sentence with only bounded quantifiers is true is often not as difficult as determining whether an arbitrary sentence is true.Examples of bounded quantifiers in the context of real analysis include "∀x>0", "∃y<0", and "∀x ∊ ℝ". Informally "∀x>0" says "for all x where x is larger than 0", "∃y<0" says "there exists a y where y is less than 0" and "∀x ∊ ℝ" says "for all x where x is a real number". For example, "∀x>0 ∃y<0 (x = y2)" says "every positive number is the square of a negative number".".
- Bounded_quantifier wikiPageID "5824808".
- Bounded_quantifier wikiPageRevisionID "565972420".
- Bounded_quantifier hasPhotoCollection Bounded_quantifier.
- Bounded_quantifier subject Category:Computability_theory.
- Bounded_quantifier subject Category:Proof_theory.
- Bounded_quantifier subject Category:Quantification.
- Bounded_quantifier comment "In the study of formal theories in mathematical logic, bounded quantifiers are often added to a language in addition to the standard quantifiers "∀" and "∃". Bounded quantifiers differ from "∀" and "∃" in that bounded quantifiers restrict the range of the quantified variable.".
- Bounded_quantifier label "Bounded quantifier".
- Bounded_quantifier sameAs m.0f7g4r.
- Bounded_quantifier sameAs Q4949986.
- Bounded_quantifier sameAs Q4949986.
- Bounded_quantifier wasDerivedFrom Bounded_quantifier?oldid=565972420.
- Bounded_quantifier isPrimaryTopicOf Bounded_quantifier.